Honam Mathematical Journal (호남수학학술지)

The Honam Mathematical Society (호남수학회)
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ON TIMELIKE BERTRAND CURVES IN MINKOWSKI 3-SPACE

  • Ucum, Ali (Kirikkale University, Faculty of Sciences and Arts, Department of Mathematics) ;
  • Ilarslan, Kazim (Kirikkale University, Faculty of Sciences and Arts, Department of Mathematics)
  • Received : 2015.11.08
  • Accepted : 2016.05.30
  • Published : 2016.09.25
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Abstract

In this paper, we study the timelike Bertrand curves in Minkowski 3-space. Since the principal normal vector of a timelike curve is spacelike, the Bertrand mate curve of this curve can be a timelike curve, a spacelike curve with spacelike principal normal or a Cartan null curve, respectively. Thus, by considering these three cases, we get the necessary and sufficient conditions for a timelike curve to be a Bertrand curve. Also we give the related examples.

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References

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